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Finding the Third Proportional to 358.13 and 409.13

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Solution

The third proportional to 358.13 and 409.13 is: 467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 409.13 = 409.13 : x
  2. Step 2: Convert to fraction form
    358.13/409.13 = 409.13/x
  3. Step 3: Cross multiply
    358.13x = 409.13 × 409.13
  4. Step 4: Simplify right side
    358.13x = 167,383.27
  5. Step 5: Solve for x
    x = 167,383.27/358.13
  6. Step 6: Final answer
    x = 467.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.